Question

if x+1/x=√5 find x²+1/x²,x²1/x²,x-1/x​

Answer 1

Answer:

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Answer 2

Answer:

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Step-by-step explanation:

$\green{If}$

$\blue{x + 1/x = 5, }$

$\green{find \: the \: value \: of:-}$

$\blue{x2 + 1/x2}$

$\green{Given :-}$

$\blue{( x + 1 /x ) = 5}$

$\green{We \: need \: to \: find:-}$

$\blue{x2 + 1 / x2}$

$\blue{( x + 1 / x )2 = 25}$

$\blue{= x2 + 1 / x2 + 2 (x)(1/x) = 25}$

$\blue{= x2 + 1/x2 + 2 = 25}$

$\blue{= x2 + 1 / x2 = 25 – 2}$

$\blue{= x2 + 1 / x2=23}$

$\green{Hence }$

$\blue{x2 + 1 / x2 = 23}$

$\boxed{hope \: its \: helpful}$

$\huge \bold \pink{@sadika1324}$